Answered

Identify which table shows a direct variation.


Table 1

x y

2 2

6 12

9 18


Table 2

x y

2 14

6 42

9 63



A.

Table 1


B.

Table 2


C.

Table 1 and Table 2


D.

Neither table

Verified Answer :

LightningEmerald1

A direct variation is a relationship between two variables that is a constant multiple of the other.
In table 1, x=2 and y=2 in the first row, but then x=6 and y=12 in the next. This means the relationship is not constant and therefor not a direct variation.
In table 2, y/x=7 for each set of variables. That means the relationship is constant and it is a direct variation.
So the answer is B. Table 2.

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